## 1 Ž . x 4 q my1h , and E E denotes the restriction to the real line ޒ of entire j g ޚ 2 functions of exponential type . From this connection, we solve two extremal problems of some fundamental classes of functions defined of .ޒ
Explicit Quadrature Formulae for Entire Functions of Exponential Type
✍ Scribed by Riadh Ben Ghanem; Clément Frappier
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 312 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
We obtain, for entire functions of exponential type, a complementary result and a generalization of a quadrature formula with nodes at the zeros of Bessel functions. Our formula contains a sequence of rational fractions whose properties are studied.
📜 SIMILAR VOLUMES
Applying the theory of generalized functions we obtain the Shannon sampling theorem for entire functions F z of exponential growth and give its error estimate which shows how much the error depends on the sampling size and bandwidth for given domain of the signal F z . As an application we obtain a
In this paper, we first establish quadrature formulas of trigonometric interpolation type for proper integrals of periodic functions with periodic weight, then we use the method of separation of singularities to derive those for corresponding singular integrals with Hilbert kernel. The trigonometric